R version 2.11.1 (2010-05-31)
Copyright (C) 2010 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

R is free software and comes with ABSOLUTELY NO WARRANTY.
You are welcome to redistribute it under certain conditions.
Type 'license()' or 'licence()' for distribution details.

R is a collaborative project with many contributors.
Type 'contributors()' for more information and
'citation()' on how to cite R or R packages in publications.

Type 'demo()' for some demos, 'help()' for on-line help, or
'help.start()' for an HTML browser interface to help.
Type 'q()' to quit R.

> y <- c(14,18,11,12,16,18,14,14,15,15,17,19,10,16,18,14,14,17,14,16,18,11,14,12,17,9,16,14,15,11,16,13,17,15,14,16,9,15,17,13,15,16,16,12,12,11,15,15,17,13,16,14,11,12,12,15,16,15,12,12,8,13,11,14,15,10,11,12,15,15,14,16,15,15,13,12,17,13,15,13,15,16,15,16,15,14,15,14,13,7,17,13,15,14,13,16,12,14,17,15,17,12,16,11,15,9,16,15,10,10,15,11,13,14,18,16,14,14,14,14,12,14,15,15,15,13,17,17,19,15,13,9,15,15,15,16,11,14,11,15,13,15,16,14,15,16,16,11,12,9,16,13,16,12,9,13,13,14,19,13,12,13)
> x <- c(41,39,30,31,34,35,39,34,36,37,38,36,38,39,33,32,36,38,39,32,32,31,39,37,39,41,36,33,33,34,31,27,37,34,34,32,29,36,29,35,37,34,38,35,38,37,38,33,36,38,32,32,32,34,32,37,39,29,37,35,30,38,34,31,34,35,36,30,39,35,38,31,34,38,34,39,37,34,28,37,33,37,35,37,32,33,38,33,29,33,31,36,35,32,29,39,37,35,37,32,38,37,36,32,33,40,38,41,36,43,30,31,32,32,37,37,33,34,33,38,33,31,38,37,33,31,39,44,33,35,32,28,40,27,37,32,28,34,30,35,31,32,30,30,31,40,32,36,32,35,38,42,34,35,35,33,36,32,33,34,32,34)
> par1 = '0'
> #'GNU S' R Code compiled by R2WASP v. 1.0.44 ()
> #Author: Prof. Dr. P. Wessa
> #To cite this work: AUTHOR(S), (YEAR), YOUR SOFTWARE TITLE (vNUMBER) in Free Statistics Software (v$_version), Office for Research Development and Education, URL http://www.wessa.net/rwasp_YOURPAGE.wasp/
> #Source of accompanying publication: Office for Research, Development, and Education
> #Technical description: Write here your technical program description (don't use hard returns!)
> par1 <- as.numeric(par1)
> library(lattice)
> z <- as.data.frame(cbind(x,y))
> m <- lm(y~x)
> summary(m)

Call:
lm(formula = y ~ x)

Residuals:
    Min      1Q  Median      3Q     Max 
-6.8766 -1.5278  0.2717  1.5958  5.1234 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept) 10.61516    1.88524   5.631 7.88e-08 ***
x            0.09883    0.05419   1.824   0.0701 .  
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 2.321 on 160 degrees of freedom
Multiple R-squared: 0.02036,	Adjusted R-squared: 0.01424 
F-statistic: 3.326 on 1 and 160 DF,  p-value: 0.07007 

> postscript(file="/var/www/rcomp/tmp/1wpre1290700201.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> plot(z,main='Scatterplot, lowess, and regression line')
> lines(lowess(z),col='red')
> abline(m)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/2pgqz1290700201.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m2 <- lm(m$fitted.values ~ x)
> summary(m2)

Call:
lm(formula = m$fitted.values ~ x)

Residuals:
       Min         1Q     Median         3Q        Max 
-1.338e-15 -4.620e-16 -1.311e-16  3.700e-16  9.437e-15 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 1.062e+01  7.954e-16 1.335e+16   <2e-16 ***
x           9.883e-02  2.287e-17 4.322e+15   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 9.792e-16 on 160 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 1.868e+31 on 1 and 160 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/3pgqz1290700201.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

Call:
lm(formula = m$residuals ~ x)

Residuals:
    Min      1Q  Median      3Q     Max 
-6.8766 -1.5278  0.2717  1.5958  5.1234 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept)  3.199e-16  1.885e+00  1.70e-16        1
x           -1.022e-17  5.419e-02 -1.89e-16        1

Residual standard error: 2.321 on 160 degrees of freedom
Multiple R-squared: 4.079e-34,	Adjusted R-squared: -0.00625 
F-statistic: 6.527e-32 on 1 and 160 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/4hp711290700201.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

Call:
lm(formula = m$fitted.values ~ m$residuals)

Residuals:
     Min       1Q   Median       3Q      Max 
-0.75343 -0.25928 -0.06162  0.23488  0.92669 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)    
(Intercept)  1.404e+01  2.629e-02     533.9   <2e-16 ***
m$residuals -5.445e-17  1.140e-02 -4.78e-15        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.3346 on 160 degrees of freedom
Multiple R-squared: 5.143e-29,	Adjusted R-squared: -0.00625 
F-statistic: 8.229e-27 on 1 and 160 DF,  p-value: 1 

> z4 <- as.data.frame(cbind(m$residuals,m$fitted.values))
> names(z4) <- list('Residuals','Fitted')
> plot(z4,main='Scatterplot, lowess, and regression line')
> lines(lowess(z4),col='red')
> abline(m4)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/5sg741290700201.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> myr <- as.ts(m$residuals)
> z5 <- as.data.frame(cbind(lag(myr,1),myr))
> names(z5) <- list('Lagged Residuals','Residuals')
> plot(z5,main='Lag plot')
> m5 <- lm(z5)
> summary(m5)

Call:
lm(formula = z5)

Residuals:
    Min      1Q  Median      3Q     Max 
-6.8931 -1.6648  0.2742  1.5446  5.1707 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)
(Intercept)  0.004298   0.183382   0.023    0.981
Residuals   -0.025330   0.079303  -0.319    0.750

Residual standard error: 2.327 on 159 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.0006412,	Adjusted R-squared: -0.005644 
F-statistic: 0.102 on 1 and 159 DF,  p-value: 0.7498 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/6l8o71290700201.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/7l8o71290700201.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/8dz5s1290700201.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/9dz5s1290700201.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> qqnorm(x)
> qqline(x)
> grid()
> dev.off()
null device 
          1 
> 
> #Note: the /var/www/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/www/rcomp/createtable")
> 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Simple Linear Regression',5,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'Statistics',1,TRUE)
> a<-table.element(a,'Estimate',1,TRUE)
> a<-table.element(a,'S.D.',1,TRUE)
> a<-table.element(a,'T-STAT (H0: coeff=0)',1,TRUE)
> a<-table.element(a,'P-value (two-sided)',1,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'constant term',header=TRUE)
> a<-table.element(a,m$coefficients[[1]])
> sd <- sqrt(vcov(m)[1,1])
> a<-table.element(a,sd)
> tstat <- m$coefficients[[1]]/sd
> a<-table.element(a,tstat)
> pval <- 2*(1-pt(abs(tstat),length(x)-2))
> a<-table.element(a,pval)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'slope',header=TRUE)
> a<-table.element(a,m$coefficients[[2]])
> sd <- sqrt(vcov(m)[2,2])
> a<-table.element(a,sd)
> tstat <- m$coefficients[[2]]/sd
> a<-table.element(a,tstat)
> pval <- 2*(1-pt(abs(tstat),length(x)-2))
> a<-table.element(a,pval)
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/www/rcomp/tmp/10dsnh1290700202.tab") 
> 
> try(system("convert tmp/1wpre1290700201.ps tmp/1wpre1290700201.png",intern=TRUE))
character(0)
> try(system("convert tmp/2pgqz1290700201.ps tmp/2pgqz1290700201.png",intern=TRUE))
character(0)
> try(system("convert tmp/3pgqz1290700201.ps tmp/3pgqz1290700201.png",intern=TRUE))
character(0)
> try(system("convert tmp/4hp711290700201.ps tmp/4hp711290700201.png",intern=TRUE))
character(0)
> try(system("convert tmp/5sg741290700201.ps tmp/5sg741290700201.png",intern=TRUE))
character(0)
> try(system("convert tmp/6l8o71290700201.ps tmp/6l8o71290700201.png",intern=TRUE))
character(0)
> try(system("convert tmp/7l8o71290700201.ps tmp/7l8o71290700201.png",intern=TRUE))
character(0)
> try(system("convert tmp/8dz5s1290700201.ps tmp/8dz5s1290700201.png",intern=TRUE))
character(0)
> try(system("convert tmp/9dz5s1290700201.ps tmp/9dz5s1290700201.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  2.880   0.890   3.794